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2 years ago

Identify the explicit function for the sequence in the table.

Mathematics

2 answers:

juin [17]2 years ago

8 0

14 - 9 = 5
19 - 14 = 5
24 - 19 = 5
29 - 24 = 5

It is an arithmetic sequence with differences, b = 5 and a = 9
a(n) = a + b(n - 1)
a(n) = 9 + 5(n - 1)

The answer is B

-Dominant- [34]2 years ago

6 0

Answer: B(APEX)

Step-by-step explanation:

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aalyn [17]

Answer:

Step-by-step explanation:

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2 years ago

A bag has 2 blue marbles, 3 red marbles, and 5 white marbles. Which events have a probability greater than One-fifth? Select thr

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Step-by-step explanation:

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2 years ago

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Ethan bought 4 packages of pencils. After he gave 8 pencils to his friends, he had 40 pencils left over. How many pencils were i

swat32

Answer:

12 pencils in each package.

Step-by-step explanation:

Given:

Ethan bought 4 packages of pencils.

No of Packages = 4

No of pencils given to friend = 8 pencils

No of pencils left over =40 pencils

∴Total Number of Pencils = No of pencils given to friend + No of pencils left over = $40+8 =48$

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2 years ago

Convert to rectangular coordinates. use exact values. 7 sqrt 2, 135 degrees

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Tan 135 = -1

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2 years ago

In a network of 40 computers, 5 hold a copy of a particular file. Suppose that 7 computers at random fail. Let F denote the numb

anzhelika [568]

Answer:

a. E(F)=0.875

b. 99.9976%

c. P(X=2)=0.1683

Step-by-step explanation:

a. We notice that this is a binomial distribution with the probability of success;

$p=\frac{5}{40}=0.125$

#We are given the sample size, n=7. The Expected value is calculated as:

$E(X)=np\\\\E(F)=np , n=7, p=0.125\\\\E(F)=7\times 0.125\\\\=0.875$

Hence the expectation, E(F)=0.875

b. To calculate the probability of the range of F, we need to calculate all possible outcomes of F in the given sample;

$P(X\leq 5)=1-P(X=6)-P(X=7)\\\\=1-{7\choose 6}(0.125)^6(1-0.125)^1-{7\choose 7}(0.125)^7(1-0.125)^0\\\\=1-0.000023365-0.000000476\\\\=0.999976158\\\\=99.9976\%$

Hence, the range of F is 99.9976%

c. The probability that F=2 is calculated using the binomial distribution function as:

$P(X=2)={7\choose 2}(0.125)^2(1-0.125)^5\\\\=0.1683$

Hence, the probability of F=2 is 0.1683

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2 years ago